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49997725027092 = 22381993955901
BaseRepresentation
bin10110101111001000000001…
…01000111100101100010100
320120000201212102101200000000
423113210000220330230110
523023130320101331332
6254200345432451300
713350134143444053
oct1327440050745424
9216021772350000
1049997725027092
1114a26a09381297
125735a88b49b30
1321b89c430146b
14c4bc8d41239a
155ba850083b7c
hex2d7900a3cb14

49997725027092 has 108 divisors (see below), whose sum is σ = 131303346821556. Its totient is φ = 16657528694400.

The previous prime is 49997725027051. The next prime is 49997725027093. The reversal of 49997725027092 is 29072052779994.

49997725027092 is a `hidden beast` number, since 49 + 9 + 9 + 7 + 7 + 2 + 502 + 70 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43819686686736 + 6178038340356 = 6619644^2 + 2485566^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 49997725027092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49997725027093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51826342 + ... + 52782242.

Almost surely, 249997725027092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49997725027092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65651673410778).

49997725027092 is an abundant number, since it is smaller than the sum of its proper divisors (81305621794464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49997725027092 is an equidigital number, since it uses as much as digits as its factorization.

49997725027092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957922 (or 957899 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 72.

The spelling of 49997725027092 in words is "forty-nine trillion, nine hundred ninety-seven billion, seven hundred twenty-five million, twenty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1993 2187 2916 3986 4374 5979 6561 7972 8748 11958 13122 17937 23916 26244 35874 53811 71748 107622 161433 215244 322866 484299 645732 955901 968598 1452897 1911802 1937196 2867703 2905794 3823604 4358691 5735406 5811588 8603109 8717382 11470812 13076073 17206218 17434764 25809327 26152146 34412436 51618654 52304292 77427981 103237308 154855962 232283943 309711924 464567886 696851829 929135772 1393703658 1905110693 2090555487 2787407316 3810221386 4181110974 5715332079 6271666461 7620442772 8362221948 11430664158 12543332922 17145996237 22861328316 25086665844 34291992474 51437988711 68583984948 102875977422 154313966133 205751954844 308627932266 462941898399 617255864532 925883796798 1388825695197 1851767593596 2777651390394 4166477085591 5555302780788 8332954171182 12499431256773 16665908342364 24998862513546 49997725027092